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Finding the Fourth Proportional to 14,408.94, 19,900.74 and 9,685.02

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Solution

The fourth proportional to 14,408.94, 19,900.74 and 9,685.02 is: 13,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.94 : 19,900.74 = 9,685.02 : x
  2. Step 2: Convert to fraction form
    14,408.94/19,900.74 = 9,685.02/x
  3. Step 3: Cross multiply
    14,408.94x = 19,900.74 × 9,685.02
  4. Step 4: Simplify right side
    14,408.94x = 192,739,016.49
  5. Step 5: Solve for x
    x = 192,739,016.49/14,408.94
  6. Step 6: Final answer
    x = 13,376.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.